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Periodic solutions of nonautonomous differential systems modeling obesity population

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  • Arenas, Abraham J.
  • González-Parra, Gilberto
  • Jódar, Lucas

Abstract

In this paper we study the periodic behaviour of the solutions of a nonautonomous model for obesity population. The mathematical model represented by a nonautonomous system of nonlinear ordinary differential equations is used to model the dynamics of obese populations. Numerical simulations suggest periodic behaviour of subpopulations solutions. Sufficient conditions which guarantee the existence of a periodic positive solution are obtained using a continuation theorem based on coincidence degree theory.

Suggested Citation

  • Arenas, Abraham J. & González-Parra, Gilberto & Jódar, Lucas, 2009. "Periodic solutions of nonautonomous differential systems modeling obesity population," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1234-1244.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1234-1244
    DOI: 10.1016/j.chaos.2009.03.029
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    References listed on IDEAS

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    1. Kobayashi, Masako & Kobayashi, Maiko, 2006. "The relationship between obesity and seasonal variation in body weight among elementary school children in Tokyo," Economics & Human Biology, Elsevier, vol. 4(2), pages 253-261, June.
    2. Huo, Hai-Feng & Li, Wan-Tong & Nieto, Juan J., 2007. "Periodic solutions of delayed predator–prey model with the Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 505-512.
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    Cited by:

    1. Enrique Lozano-Ochoa & Jorge Fernando Camacho & Cruz Vargas-De-León, 2017. "Qualitative Stability Analysis of an Obesity Epidemic Model with Social Contagion," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-12, January.

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